138282710630400
138,282,710,630,400 is an even composite number composed of six prime numbers multiplied together.
138282710630400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 138282710630400:
215 × 36 × 52 × 7 × 19 × 1741
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 19 × 1741)See below for interesting mathematical facts about the number 138282710630400 from the Numbermatics database.
Names of 138282710630400
- Cardinal: 138282710630400 can be written as One hundred thirty-eight trillion, two hundred eighty-two billion, seven hundred ten million, six hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.382827106304 × 1014
Factors of 138282710630400
Divisors of 138282710630400
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 27 28 30 32 35 36 38 40 42 45 48 50 54 56 57 60 63 64 70 72 75 76 80 81 84 90 95 96 100 105 108 112 114 120 126 128 133 135 140 144 150 152 160 162 168 171 175 180 189 190 192 200 210 216 224 225 228 240 243 252 256 266 270 280 285 288 300 304 315 320 324 336 342 350 360 378 380 384 399 400 405 420 432 448 450 456 475 480 486 504 512 513 525 532 540 560 567 570 576 600 608 630 640 648 665 672 675 684 700 720 729 756 760 768 798 800 810 840 855 864 896 900 912 945 950 960 972 1008 1024 1026 1050 1064 1080 1120 1134 1140 1152 1197 1200 1215 1216 1260 1280 1296 1330 1344 1350 1368 1400 1425 1440 1458 1512 1520 1536 1539 1575 1596 1600 1620 1680 1701 1710 1728 1741 1792 1800 1824 1890 1900 1920 1944 1995 2016 2025 2048 2052 2100 2128 2160 2240 2268 2280 2304 2394 2400 2430 2432 2520 2560 2565 2592 2660 2688 2700 2736 2800 2835 2850 2880 2916 3024 3040 3072 3078 3150 3192 3200 3240 3325 3360 3402 3420 3456 3482 3584 3591 3600 3645 3648 3780 3800 3840 3888 3990 4032 4050 4096 4104 4200 4256 4275 4320 4480 4536 4560 4608 4617 4725 4788 4800 4860 4864 5040 5103 5120 5130 5184 5223 5320 5376 5400 5472 5600 5670 5700 5760 5832 5985 6048 6075 6080 6144 6156 6300 6384 6400 6480 6650 6720 6804 6840 6912 6964 7168 7182 7200 7290 7296 7560 7600 7680 7695 7776 7980 8064 8100 8192 8208 8400 8505 8512 8550 8640 8705 8960 9072 9120 9216 9234 9450 9576 9600 9720 9728 9975 10080 10206 10240 10260 10368 10446 10640 10752 10773 10800 10944 11200 11340 11400 11520 11664 11970 12096 12150 12160 12187 12288 12312 12600 12768 12800 12825 12960 13300 13440 13608 13680 13824 13851 13928 14175 14336 14364 14400 14580 14592 15120 15200 15360 15390 15552 15669 15960 16128 16200 16384 16416 16800 17010 17024 17100 17280 17410 17920 17955 18144 18225 18240 18432 18468 18900 19152 19200 19440 19456 19950 20160 20412 20480 20520 20736 20892 21280 21504 21546 21600 21888 22400 22680 22800 23040 23085 23328 23940 24192 24300 24320 24374 24576 24624 25200 25515 25536 25600 25650 25920 26115 26600 26880 27216 27360 27648 27702 27856 28350 28672 28728 28800 29160 29184 29925 30240 30400 30720 30780 31104 31338 31920 32256 32319 32400 32768 32832 33079 33600 34020 34048 34200 34560 34820 35840 35910 36288 36450 36480 36561 36864 36936 37800 38304 38400 38475 38880 38912 39900 40320 40824 40960 41040 41472 41784 42525 42560 43008 43092 43200 43525 43776 44800 45360 45600 46080 46170 46656 47007 47880 48384 48600 48640 48748 49152 49248 50400 51030 51072 51200 51300 51840 52230 53200 53760 53865 54432 54720 55296 55404 55712 56700 57344 57456 57600 58320 58368 59850 60480 60800 60935 61440 61560 62208 62676 63840 64512 64638 64800 65664 66158 67200 68040 68096 68400 69120 69255 69640 71680 71820 72576 72900 72960 73122 73728 73872 75600 76608 76800 76950 77760 77824 78345 79800 80640 81648 81920 82080 82944 83568 85050 85120 86016 86184 86400 87050 87552 89600 89775 90720 91200 92160 92340 93312 94014 95760 96768 96957 97200 97280 97496 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40012358400 40433541120 40647475200 41155568640 41588785152 42679848960 43213347072 43321651200 43899273216 44926156800 45013903200 45487733760 45728409600 47422054400 48014830080 48520249344 48776970240 49386682368 50541926400 51215818752 51444460800 51985981440 53349811200 53911388160 54016683840 54874091520 56859667200 56906465280 57617796096 57762201600 60018537600 60650311680 60971212800 61733352960 64019773440 64982476800 65848909824 67389235200 67520854800 68287758336 68592614400 69314641920 71133081600 72022245120 72780374016 73165455360 75812889600 76823728128 77166691200 79427174400 80024716800 80867082240 81294950400 82311137280 85359697920 86426694144 86643302400 87798546432 89852313600 90027806400 90975467520 91456819200 94844108800 96029660160 97040498688 98773364736 101083852800 102431637504 102888921600 103971962880 106699622400 108033367680 109748183040 113719334400 113812930560 115235592192 115524403200 120037075200 121300623360 121942425600 123466705920 128039546880 129964953600 131697819648 134778470400 135041709600 137185228800 142266163200 144044490240 145560748032 146330910720 151625779200 153647456256 154333382400 160049433600 161734164480 164622274560 170719395840 172853388288 173286604800 180055612800 181950935040 182913638400 189688217600 192059320320 197546729472 202167705600 204863275008 205777843200 207943925760 213399244800 216066735360 219496366080 227438668800 230471184384 240074150400 242601246720 243884851200 246933411840 256079093760 259929907200 263395639296 269556940800 270083419200 274370457600 284532326400 288088980480 291121496064 303251558400 307294912512 308666764800 320098867200 329244549120 341438791680 345706776576 346573209600 360111225600 363901870080 365827276800 384118640640 395093458944 404335411200 411555686400 426798489600 432133470720 438992732160 454877337600 460942368768 480148300800 485202493440 493866823680 512158187520 519859814400 540166838400 548740915200 569064652800 576177960960 606503116800 614589825024 617333529600 640197734400 658489098240 691413553152 720222451200 727803740160 731654553600 768237281280 790186917888 808670822400 823111372800 853596979200 864266941440 909754675200 921884737536 960296601600 987733647360 1024316375040 1039719628800 1080333676800 1097481830400 1152355921920 1213006233600 1234667059200 1280395468800 1316978196480 1382827106304 1440444902400 1455607480320 1536474562560 1646222745600 1707193958400 1728533882880 1819509350400 1843769475072 1920593203200 1975467294720 2160667353600 2194963660800 2304711843840 2426012467200 2469334118400 2560790937600 2765654212608 2880889804800 3072949125120 3292445491200 3457067765760 3639018700800 3841186406400 3950934589440 4321334707200 4609423687680 4938668236800 5121581875200 5531308425216 5761779609600 6584890982400 6914135531520 7278037401600 7682372812800 8642669414400 9218847375360 9877336473600 11523559219200 13828271063040 15364745625600 17285338828800 19754672947200 23047118438400 27656542126080 34570677657600 46094236876800 69141355315200 138282710630400
- Sum of all divisors σ(n): 618904004721600
- Sum of proper divisors (its aliquot sum) s(n): 480621294091200
- 138282710630400 is an abundant number, because the sum of its proper divisors (480621294091200) is greater than itself. Its abundance is 342338583460800
Bases of 138282710630400
- Binary: 111110111000100011100111101100010000000000000002
- Hexadecimal: 0x7DC473D88000
- Base-36: 1D0M77K000
Squares and roots of 138282710630400
- 138282710630400 squared (1382827106304002) is 19122108059290941165404160000
- 138282710630400 cubed (1382827106304003) is 2644256935406168943379654800744382464000000
-
The
square root of 138282710630400 is 11759366.9315316461 -
The
cube root of 138282710630400 is 51711.7570855823
Scales and comparisons
How big is 138282710630400?- 138,282,710,630,400 seconds is equal to 4,396,962 years, 24 weeks.
-
To count from 1 to 138,282,710,630,400 would take you about ten million, nine hundred ninety-two thousand, four hundred six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138282710630400 cubic inches would be around 4309.3 feet tall.
Recreational maths with 138282710630400
- 138282710630400 backwards is 004036017282831
- 138282710630400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138282710630400's digits is 45
- More coming soon!
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"Number 138282710630400 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138282710630400 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138282710630400/
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The information we have on file for 138282710630400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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